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https://repository.seku.ac.ke/handle/123456789/8095| Title: | On relation between the joint essential spectrum and the joint essential numerical range of aluthge transform |
| Authors: | Sakwa, Cyprian O. |
| Keywords: | Aluthge transform joint essential spectrum joint essential numerical range |
| Issue Date: | 13-Aug-2021 |
| Citation: | Journal of advances in mathematics and computer science, volume 36, issue 8, 2021 |
| Abstract: | Associated with every commuting m-tuples of operators on a complex Hilbert space X is its Aluthge transform. In this paper we show that every commuting m-tuples of operators on a complex Hilbert space X and its Aluthge transform have the same joint essential spectrum. Further, it is shown that the joint essential spectrum of Aluthge transform is contained in the joint essential numerical range of Aluthge transform. |
| Description: | DOI: 10.9734/jamcs/2021/v36i830386 |
| URI: | https://www.journaljamcs.com/index.php/JAMCS/article/view/1604/3212 http://repository.seku.ac.ke/xmlui/handle/123456789/8095 |
| ISSN: | 2456-9968 |
| Appears in Collections: | School of Science and Computing (JA) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Sakwa_On relation between the joint essential spectrum....pdf | abstract | 2.99 kB | Adobe PDF | View/Open |
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